99456146899200 has 2592 divisors, whose sum is σ = 453510726789120. Its totient is φ = 20228250009600.

The previous prime is 99456146899177. The next prime is 99456146899243. The reversal of 99456146899200 is 299864165499.

99456146899200 is a `hidden beast` number, since 9 + 9 + 4 + 56 + 1 + 468 + 99 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47609451756 + ... + 47609453844.

Almost surely, 2^{99456146899200} is an apocalyptic number.

99456146899200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99456146899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226755363394560).

99456146899200 is an abundant number, since it is smaller than the sum of its proper divisors (354054579889920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99456146899200 is a wasteful number, since it uses less digits than its factorization.

99456146899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 99456146899200 in words is "ninety-nine trillion, four hundred fifty-six billion, one hundred forty-six million, eight hundred ninety-nine thousand, two hundred".